The parent cosecant function is shifted 2units down, and it's period is changed to 6π. which of the following is the graph of the transformed function?

Given: circle o, cd is diameter, chord ab || cd. arc ab = 74°, find arc ca.

You are standing next to a really big circular lake. you want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! you decide to walk around the perimeter of the lake and measure its circumference, and find that it's 400\pi\text{ m}400? m. what is the diameter dd of the lake?

Two years ago a man was six times as old as his daughter. in 18 years he will be twice as old as his daughter. determine their present ages.